Name:______________________________________________Date:____________________Period:_____

ReviewforTest3:LinearFunctions1.Jennyisrentingamovingtruck.Shewillhavetopayaone-timefeeforinsurancecoverageandpaythedailyrateforthetruckeachdaysheusesit.Thetotalcostofrentingthetruckintermsofthenumberofdaysthemovewilltakecanbemodeledbytheequation𝑦 = 110𝑥 + 85. What’stheslope?_______ What’sthey-intercept?_______ MatchthepartsoftheequationincolumnAtotheircorrectrepresentationincolumnB.

ColumnA ColumnB Whatdoesxrepresent?_____ 1.theone-timefeeforinsurancecoverage

Whatdoesyrepresent?_____ 2.thecostperdayforrentingthetruck;thedailyrate

Whatdoesthesloperepresent?_____ 3.thenumberofdaysthemovetakes

Whatdoesthey-interceptrepresent?_____4.thetotalcost

2.Findtheslopeofthelinethroughthefollowingpoints.

a.) 2,−3 𝑎𝑛𝑑 5, 1 b.) 3,−2 𝑎𝑛𝑑 4,−2 m= m=

3.Whichofthefollowingequationsrepresentsalinearfunction?

A.𝑦 = 𝑥! B.𝑦 = −2𝑥! C.𝑦 = !! D.𝑦 = 𝑥

4.Usethelineinthegraphtotherighttoanswerquestions.________a.)Whatism?________b.)Whatisthex-intercept?________c.)Whatisthey-intercept?________________d.)Whatistheequationoftheline?

5.Writeanequationforalinewithslopeof− !!andy-intercept4.

6.Writeanequationforalinethatgoesthrough 0,−5 withaslopeof−3

SlopeFormula:𝑚 = !!!!!!!!!!

7.Thetablebelowshowsorderedpairsofalinearfunction.

Whatisthexintercept?________ Whatistheyintercept?________ WhatistheRateofChange?

Whatistheequationoftheline?8.Statetheslopeandinterceptofthefollowinglinesandwritetheequationforeach. a.) b.)9.Jerodisbuyingahousefor$65,000.Hismonthlypaymentswillbe$725permonth.WriteanequationJerodcouldusetocalculatehowmuchmoneyhestillowesforhishouseasafunctionofhowmanymonthshehasbeenpayingforthehouse.Thenstatewhattheslope,y-intercept,andx-interceptareandwhattheyrepresent,andstatewhatthedomainvalues(xvalues)representandwhattherangevalues(yvalues)represent.Equation: Slope: SlopeRepresents:Domain(x)represents: Range(y)represents:y-int: y-intrepresents: x-int: x-intrepresents:10.Whichofthefollowinggraphsshowthelinearequation−3𝑦 − 9𝑥 = 9?A. B. C. D.

X Y-1 61 23 -24 -4

Slope:Intercept:Equation:

Slope:Intercept:Equation:

11.Thisgraphshowstheamountofmoneyearnedover6months. Total Money Earned

0 1 2 3 4 5 6 Month 12.Findtheslopeandy-interceptofthefollowinglines. 13.Whatisthezeroofthefunctionbelow?

a.) 14.Whichofthefollowingtablescontainsvaluesforanequationthathasarateofchangeof−2?

A. B. C. D. 15.Kevinissavingmoney.Hestartswith$100andsaves$25eachmonth.Thegraphbelowshowstheamountofmoneyhehasbeenabletosaveasafunctionofthenumberofmonthshehasbeensaving.

Whatistheslope? Whatdoesthesloperepresent? Whatisthey-intercept? Whatdoesthey-interceptrepresent? Isthex-interceptusefulforthissituation?Whyorwhynot?

575

460

345

230

115

Whatdoestheslopeofthisgraphrepresent?A.numberofmonths

B.totalmoneyearned

C.monthspertotalmoneyearned

D.totalmoneyearnedpermonth

m=y-int=Equation:

x Y -2 1 0 3 2 5 4 7

x Y 1 0 2 4 3 6 4 8

x Y -2 -3 0 -4 2 -5 4 -6

x Y 1 -3 2 -5 3 -7 4 -9

16.Identifytheslopeandy-interceptof:𝑦 = −5𝑥 Slope_______ y-intercept_______17.Writetheequationinslopeinterceptform: 18.Writetheequationinslopeinterceptform:−4𝑥 + 2𝑦 = 8Thenidentifyslopeand 6𝑥 − 4𝑦 = −4Thenidentifyslopeand y-intercept. y-intercept. Slope_______ Slope_______ y-intercept_______ y-intercept_______19.Giventhegraphbelow,identifythefollowing: 20.Graphthelinethatpassesthroughthegivenlinearequation: points.Thenidentifytheslope,intercepts,and equationoftheline. 5,−1 and 5, 5

Slope_______ y-int:Equationoftheline:21.Graphthefollowingequationsandidentifytheslope,they-intifithasone,andthex-intifithasone:

a.𝑦 = −4 b.𝑥 = 3 Slope_______ Slope_______ y-intercept_______ y-intercept______ x-intercept_______ x-intercept______22.Whichofthefollowingisthegraphof:𝑦 = −2𝑥 + 4?

A. B. C. D.

m=y-int=x-int=Equation: